4784133148200 has 480 divisors, whose sum is σ = 19163985033600. Its totient is φ = 1083481090560.

The previous prime is 4784133148199. The next prime is 4784133148271. The reversal of 4784133148200 is 28413314874.

4784133148200 is a `hidden beast` number, since 4 + 78 + 4 + 1 + 331 + 48 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12167077 + ... + 12554123.

It is an arithmetic number, because the mean of its divisors is an integer number (39924968820).

Almost surely, 2^{4784133148200} is an apocalyptic number.

4784133148200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4784133148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581992516800).

4784133148200 is an abundant number, since it is smaller than the sum of its proper divisors (14379851885400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4784133148200 is a wasteful number, since it uses less digits than its factorization.

4784133148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387191 (or 387173 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4784133148200 in words is "four trillion, seven hundred eighty-four billion, one hundred thirty-three million, one hundred forty-eight thousand, two hundred".